<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta http-equiv="X-UA-Compatible" content="ie=edge">
  <title>Document</title>
  <link rel="stylesheet" href="https://unpkg.com/multiple-select@1.4.2/dist/multiple-select.min.css">
  <script src="https://code.jquery.com/jquery-3.4.1.min.js"></script>
  <script src="https://unpkg.com/multiple-select@1.4.2/dist/multiple-select.min.js"></script>
  <style>
    .name{
      height: 200px;
      width: 30px;
      overflow-y: scroll;
    }
    .name::-webkit-scrollbar { width: 0 !important }   /*谷歌去除滚动条*/
    .name{ -ms-overflow-style: none; } /*id去除滚动条*/
    .name{ overflow: -moz-scrollbars-none; } /*火狐去除滚动条*/
  </style>
</head>
<body>
    <select name='column' multiple="multiple" >
    　　<option value='1'> 选项一 </option>
    　　<option value='2'> 选项二 </option>
    　　<option value='3'> 选项三</option>
    </select>
    <div class="name">
      <p>1</p>
      <p>1</p>
      <p>1</p>
      <p>1</p>
      <p>1</p>
      <p>1</p>
      <p>1</p>
      <p>1</p>
      <p>1</p>
      <p>1</p>
      <p>1</p>
    </div>
    <script>
      // 初始化
      $("select[name='column']").multipleSelect({
      　　placeholder: "请选择",
      　　selectAllText:'全选',
      　　allSelected:'选择全部'
      });
       
      // 设置默认选中
      $("select[name='column']").multipleSelect('setSelects', [1,2]);
       
      </script>
</body>
</html>